Find the probability of obtaining 2 ones, 1 two, 1 three, 2 fours, 3 fives, and 1 six in 10rolls of an unbalanced die in which odd numbers occur twice as of the even number

Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability

Q: Find the probability of obtaining 2 ones, 1 two, 1 three, 2 fours, 3 fives, and 1 six in 10 rolls of…

A: Solution

Q: Suppose that 67% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that,  Let X be the number of dogs from binomial distribution with probability of dogs…

Q: In a class with 7 boys and 9 girls, Three students are selected at random. The probability…

A:

Q: Suppose a jar contains 14 red marbles and 40 blue marbles. If you reach in the jar and pull out 2…

A: Given that: A jar contains 14 red marbles and 40 blue marbles. We reach in the jar and pull out 2…

Q: A bag contains 3 yellow and 5 black balls. if 2 balls are drawn in succession without replacement,…

A: Given,no.of yellow balls=3no.of black balls=5total no.of balls=8

Q: A fair die with 6 sides is rolled 3 times, and every time it lands on a 4. Find the probability…

A: Introduction: The given die is fair and has 6 sides. Thus, the probability of each possible outcome,…

Q: |Suppose that a single die with 19 sides (numbered 1, 2, 3, . , 19) is rolled once. What is the…

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Q: Suppose that a box contains three equally sized balls numbered as 1,2 and 3. If two balls are drawn…

A: Given,  3 equally sized balls numbered as 1, 2 and 3.

Q: We will toss a fair 6-sided die repeatedyl and let X denote the number of 5s that we roll. What is…

A: This problem can be solved using Binomial distribution

Q: Compute the probability that the number 3 appears 5 times when a fair die is rolled 7 times.

A: We have to find probability for binomial variable.

Q: Suppose that a single die with 6 sides (numbered 1, 2, 3, ..., 6) is rolled twice. What is the…

A:

Q: a card is selected at random from a standard deck of playing cards.  Compute the probability that…

A: Given data:       The total number of cards in the standard deck is, The expression for the number…

Q: Assume you throw one “fair” astragalus 100 times. What is the probability that it lands on a“4”…

A: Given :  n = 100 The probability that it lands on 4 is 0.30

Q: 7% of all Americans live in poverty. If 37 Americans are randomly selected, find the probability…

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Q: The probability of four times of number 4 in 10 die tosses with Bernoulli trails is 0.35 O 0.3 None…

A: We have given that, n = 10 , p = 1/6 ,  We have to find , No of getting 4 on dice .

Q: A special six-sided die has the numbers {2, 4, 8, 10, 11, 16} on its sides. Estimate the probability…

A:

Q: Suppose that 58% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that 58% of people own dogs Two people are randomly selected. We have to find they both own a…

Q: A coin has a probability of p = 0.5 for getting a head in each toss. And it was tossed 6 times. What…

A: Given: Probability of heads (1 - p) = 0.50 Probability of success or tails (p) = 1 - 0.50…

Q: probability of rolling a multiple of 3 on a 6 sided die given you already rolled an even number on…

A: Given that  Probability of rolling a multiple of 3 on a 6 sided die given you already rolled an even…

Q: Suppose you are given a standard six-sided die. The sides are numbered one through six, and each…

A: Probability is chance of occurrence of an event , i.e probability is ratio of number of favorable…

Q: Suppose that a die is biased (or loaded) so that 3 appears twice as often as each other number but…

A: Let us denote the probability of 5 or 6 or 1 or 2 or 4 as p. That is, P(1)=P(2)=P(4)=P(5)=P(6)=p…

Q: A dodecahedral die is tossed once.  Find the probability that the number on the upward face is…

A: A dodecahedral die numbered 1 through 12. When a  dodecahedral die is rolled one time, the…

Q: Suppose a jar contains 5 red marbles and 40 blue marbles. If 2 marbles are randomly chosen from the…

A: Given that, Number of red marbles = 5Number of blue marbles =40Total number of marbles = 45

Q: Two dies are rolled, find the probability that the sum is greater than 16 16 O None of these 12 16

A: Answer - Two dice are rolled               then    n(S)  = 36

Q: Suppose that a single die with 6 sides (numbered 1, 2, 3, ... , 6) is rolled twice. What is the…

A: We have to find given probabiity.

Q: Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that…

A: Here.  We will use : P(A n B ) = P(A) × P(B) Given data: Suppose that 31% of people own dogs. If you…

Q: a) The probability of rolling a sum not more than 7 is (Type an integer or a simplified fraction.)

A:

Q: Suppose a jar contains 17 red marbles and 22 blue marbles. If 2 marbles are randomly chosen from the…

A: There are 17 red marbles and 22 blue marbles. Thus, there are 39 marbles in total.

Q: find the probability that at most 2 tails occured when 5 fair coin are tossed

A: find the probability that at most 2 tails occured when 5 fair coin are tossed

Q: Suppose that 55% of people own dogs. If you pick two people at random, what is the probability that…

A: Let p be the probability that a person owns dog. Given that p = 0.55 Let X denote the number of…

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that 41% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Calculate the probability that in i consecutive rolls of the same die, a six is not rolled twice in…

A: We need to find here six is not rolled twice in row and a six is rolled on the last roll.

Q: Suppose you roll a special 46-sided die. What is the probability that you get either an even number…

A: From the given information,Sample size  = {1,2,3,4,5,6,7,8,9,…………………………………..45]Let A be the evet…

Q: What is the probability that it takes 11 rolls to get your first “5” when rolling a fair 6-sided die

A: Given information: It takes 11 rolls to get your first “5” when rolling a fair 6-sided die.…

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A:

Q: at in five tosses of a fair die, a 3 will appear at least

A: a) Given: n = 5 The sample space of a die is 1,2, 3, 4, 5, 6 i.e. there are 6 total outcomes.    p =…

Q: A six sided die is loaded such that a 3 és tuice as likely to as each of the ether fve five numbers…

A: Givenwhen a die is rolled 3 is twice as likely to appear as other numbersProbability that 3 occur…

Q: A coin is weighted in such a way that it lands "heads side up" 70% of the time. The coin is to be…

A: Given that p =0.7 ,n=8,k=5 Using negative binomial distribution Find the probability given

Q: In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue…

A: Given, P(brown) = 0.72 P(blue) = 0.28

Q: A fair die with 6 sides is rolled 4 times, and every time it lands on a 1. Find the probability…

A: The given die is fair and has 6 sides.

Q: Find the probability of purchasing a ticket with a number whose sums of the first three and last…

A: There are 28 possible sums for three digits, but they are not equiprobable. Let’s analize first this…

Q: Find the probability that among 7 randomly chosen guests at a party no two share a birth month.

A: Given Data: The number of chosen guests is: N=7 The total number of the month (M) is 12. The total…

Q: Suppose that 10000 tickets are sold in one lottery and 5000 tickets are sold in another  If a…

A: As given: A person owns 100 tickets in each lottery. The chance of winning the first price in the…

Q: Find the probability of getting a prime number thrice by tossing a die 5 times.

A: Solution

Q: Suppose a jar contains 11 red marbles and 19 blue marbles. If 2 marbles are randomly chosen from the…

A: Suppose a jar contains 11 red marbles and 19 blue marbles. If 2 marbles are randomly chosen from the…

Q: Find the chances that at least two people in our class (n=66) have the same birthday (MM/DD)?

A:

Q: A box contains 10 red and 9 blue balls. If 3 draws are randomly made one by one without replacement…

A: Given information: A box contains 10 red and 9 blue balls. 3 balls are drawn randomly without…

Q: Compute the probability that the number 2 appears 5 times when a fair die is rolled 8 times.

A: We have to find given probability.